scholarly journals Nonlinear bending and vibration of functionally graded tubes resting on elastic foundations in thermal environment based on a refined beam model

2016 ◽  
Vol 40 (17-18) ◽  
pp. 7601-7614 ◽  
Author(s):  
Jun Zhong ◽  
Yiming Fu ◽  
Detao Wan ◽  
Yingli Li
Keyword(s):  
Thermal Environment ◽  
Functionally Graded ◽  
Beam Model ◽  
Nonlinear Bending ◽  
Elastic Foundations

Nonlinear thermo-mechanical dynamic analysis and vibration of higher order shear deformable piezoelectric functionally graded material sandwich plates resting on elastic foundations

2016 ◽  
Vol 20 (2) ◽  
pp. 191-218 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Pham Hong Cong
Keyword(s):  
Dynamic Analysis ◽  
Material Properties ◽  
Nonlinear Dynamic ◽  
Thermal Environment ◽  
Nonlinear Dynamic Analysis ◽  
Higher Order ◽  
Functionally Graded ◽  
Geometrical Parameters ◽  
Sandwich Plates ◽  
Elastic Foundations

Used the Reddy's higher-order shear deformation plate theory, the nonlinear dynamic analysis and vibration of imperfect functionally graded sandwich plates in thermal environment with piezoelectric actuators (PFGM) on elastic foundations subjected to a combination of electrical, damping loadings and temperature are investigated in this article. One of the salient features of this work is the consideration of temperature on the piezoelectric layer, and the material properties of the PFGM sandwich plates are assumed to be temperature-dependent. The governing equations are established based on the stress function, the Galerkin method, and the Runge–Kutta method. In the numerical results, the effects of geometrical parameters; material properties; imperfections; elastic foundations; electrical, thermal, and damping loads on the vibration and nonlinear dynamic response of the PFGM sandwich plates are discussed. The obtained natural frequencies are verified with the known results in the literature.

Nonlinear Bending Analysis of Functionally Graded CNT-Reinforced Shallow Arches Placed on Elastic Foundations

2019 ◽  
Vol 33 (2) ◽  
pp. 164-186
Author(s):  
Yuanyuan Zhang ◽  
Bo Zhang ◽  
Huoming Shen ◽  
Yuxing Wang ◽  
Xin Zhang ◽  
...  
Keyword(s):  
Functionally Graded ◽  
Nonlinear Bending ◽  
Bending Analysis ◽  
Shallow Arches ◽  
Elastic Foundations

scholarly journals Large displacements of FGSW beams in thermal environment using a finite element formulation

2020 ◽  
Author(s):  
Bui Thi Thu Hoai ◽  
Nguyen Dinh Kien ◽  
Tran Thi Thu Huong ◽  
Le Thi Ngoc Anh
Keyword(s):  
Finite Element ◽  
Temperature Rise ◽  
Volume Fraction ◽  
Thermal Environment ◽  
Functionally Graded ◽  
Finite Element Formulation ◽  
Effect Of Temperature ◽  
Element Formulation ◽  
Beam Model ◽  
Large Displacements

The large displacements of functionally graded sandwich (FGSW) beams in thermal environment  are studied using a finite element formulation. The beams are composed of three layers, a homogeneous core and two functionally graded face sheets with volume fraction of constituents following a power gradation law. The material properties of the beams are considered to be temperature-dependent.  Based on Antman beam model and the total Lagrange formulation, a two-node nonlinear beam element taking the effect of temperature rise into account  is formulated and employed in the study. The element with explicit expressions for the internal force vector and tangent stiffness matrix is derived using linear interpolations and reduced integration technique to avoid the shear locking. Newton-Raphson based iterative algorithm is employed in combination with the arc-length control method to compute the large displacement response of a cantilever FGSW beam subjected to end forces.  The accuracy of the formulated element is confirmed through a comparison study. The effects of the material inhomogeneity, temperature rise and layer thickness ratio on the large deflection response of the beam are examined and highlighted.

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